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On Global Minimization in Mathematical Modelling of Engineering Applications

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Part of the book series: Optimization and Its Applications ((SOIA,volume 4))

Abstract

Many problems in engineering, physics, economic and other subjects may be formulated as optimization problems, where the minimum value of an objective function should be found. Mathematically the problem is formulated as follows

$$ f* = \mathop {\min }\limits_{X \in D} f(X), $$
((1))

where f(X) is an objective function, X are decision variables, and D is a search space. Besides of the minimum f*, one or all minimizers X* : f (X*) = f* should be found.

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Čiegis, R. (2007). On Global Minimization in Mathematical Modelling of Engineering Applications. In: Törn, A., Žilinskas, J. (eds) Models and Algorithms for Global Optimization. Optimization and Its Applications, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-36721-7_18

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